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On (\mathbb{R}), (a*b=a-b) is defined. Choose the correct statement.(\mathbb{R}) पर (a*b=a-b) दी है। सही कथन चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Neither commutative nor associativeन क्रमविनिमेय न साहचर्य
Step 1: (a*b=a-b) and (b*a=b-a) are generally not equal. Step 2: ((a*b)*c=(a-b)-c), while (a*(b*c)=a-(b-c)), which are generally different. Step 3: In subtraction, both order and grouping can change the result.चरण 1: (a*b=a-b) और (b*a=b-a) सामान्यतः बराबर नहीं हैं। चरण 2: ((a*b)*c=(a-b)-c), जबकि (a*(b*c)=a-(b-c)), ये भी सामान्यतः बराबर नहीं हैं। चरण 3: घटाव में क्रम और कोष्ठक दोनों बदलने से उत्तर बदल सकता है।
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